Table P-X
Internal Similitude Centers.
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 8998 points version of 2015.
The "Discoverer" database version: October 2013.
Last update: 2016-04-18

      Role     Kimberling Notation  
  1     Internal Center of Similitude of the Circumcircle of the Johnson Triangle and the Circumcircle     X(5)   Nine-Point Center  
  2     Internal Center of Similitude of the Circumcircle of the Johnson Triangle and the Incircle     X(1478)   Center of the Inner Johnson-Yff Circle  
  3     Internal Center of Similitude of the Circumcircle of the Johnson Triangle and the Nine-Point Circle     X(381)   Center of the Orthocentroidal Circle  
  4     Internal Center of Similitude of the Circumcircle of the Johnson Triangle and the Excentral Circle     X(5587)    
  5     Internal Center of Similitude of the Circumcircle of the Johnson Triangle and the Antimedial Circle     X(4)   Orthocenter  
  6     Internal Center of Similitude of the Circumcircle of the Johnson Triangle and the Tangential Circle     X(7517)    
  7     Internal Center of Similitude of the Circumcircle of the Johnson Triangle and the Inner Johnson-Yff Circle     X(3585)    
  8     Internal Center of Similitude of the Circumcircle of the Johnson Triangle and the Outer Johnson-Yff Circle     X(1)   Incenter  
  9     Internal Center of Similitude of the Circumcircle of the Johnson Triangle and the Cosine Circle     X(3070)    
  10     Internal Center of Similitude of the Incircle of the Johnson Triangle and the Incircle     X(5)   Nine-Point Center  
  11     Internal Center of Similitude of the Incircle of the Johnson Triangle and the Excentral Circle     X(7330)    
  12     Internal Center of Similitude of the Incircle of the Johnson Triangle and the Spieker Circle     X(5790)    
  13     Internal Center of Similitude of the Incircle of the Johnson Triangle and the Inner Johnson-Yff Circle     X(6917)    
  14     Internal Center of Similitude of the Incircle of the Johnson Triangle and the Outer Johnson-Yff Circle     X(6929)    
  15     Internal Center of Similitude of the Incentral Circle of the Johnson Triangle and the Incentral Circle     X(5)   Nine-Point Center  
  16     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Circumcircle     X(2)   Centroid  
  17     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Incircle     X(12)   Feuerbach Perspector  
  18     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Excentral Circle     X(1698)    
  19     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Antimedial Circle     X(3091)    
  20     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Tangential Circle     X(25)   Product of the Orthocenter and the Symmedian Point  
  21     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Spieker Circle     X(2886)    
  22     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Brocard Circle     X(1348)    
  23     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Second Brocard Circle     X(2566)    
  24     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Orthocentroidal Circle     X(1346)    
  25     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Outer Johnson-Yff Circle     X(55)   Internal Center of Similitude of Circumcircle and Incircle  
  26     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Lemoine Circle     X(1676)   Outer Kiepert omega/2 Point  
  27     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Gallatly Circle     X(2009)    
  28     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Kenmotu Circle     X(3373)   Outer Kiepert PI/8 Point  
  29     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Cosine Circle     X(485)   Outer Vecten Point  
  30     Internal Center of Similitude of the Nine-Point Circle of the Johnson Triangle and the Apollonius Circle     X(10)   Spieker Center  
  31     Internal Center of Similitude of the Symmedial Circle of the Johnson Triangle and the Symmedial Circle     X(5)   Nine-Point Center  
  32     Internal Center of Similitude of the Extouch Circle of the Johnson Triangle and the Extouch Circle     X(5)   Nine-Point Center  
  33     Internal Center of Similitude of the Excentral Circle of the Johnson Triangle and the Circumcircle     X(5886)    
  34     Internal Center of Similitude of the Excentral Circle of the Johnson Triangle and the Excentral Circle     X(5)   Nine-Point Center  
  35     Internal Center of Similitude of the Excentral Circle of the Johnson Triangle and the Outer Johnson-Yff Circle     X(5722)    
  36     Internal Center of Similitude of the Antimedial Circle of the Johnson Triangle and the Circumcircle     X(3)   Circumcenter  
  37     Internal Center of Similitude of the Antimedial Circle of the Johnson Triangle and the Incircle     X(3295)    
  38     Internal Center of Similitude of the Antimedial Circle of the Johnson Triangle and the Nine-Point Circle     X(1656)    
  39     Internal Center of Similitude of the Antimedial Circle of the Johnson Triangle and the Excentral Circle     X(3579)    
  40     Internal Center of Similitude of the Antimedial Circle of the Johnson Triangle and the Antimedial Circle     X(5)   Nine-Point Center  
  41     Internal Center of Similitude of the Antimedial Circle of the Johnson Triangle and the Tangential Circle     X(2070)    
  42     Internal Center of Similitude of the Antimedial Circle of the Johnson Triangle and the Second Brocard Circle     X(3)   Circumcenter  
  43     Internal Center of Similitude of the Antimedial Circle of the Johnson Triangle and the Cosine Circle     X(3311)    
  44     Internal Center of Similitude of the Tangential Circle of the Johnson Triangle and the Antimedial Circle     X(3153)    
  45     Internal Center of Similitude of the Tangential Circle of the Johnson Triangle and the Tangential Circle     X(5)   Nine-Point Center  
  46     Internal Center of Similitude of the Spieker Circle of the Johnson Triangle and the Incircle     X(5603)    
  47     Internal Center of Similitude of the Spieker Circle of the Johnson Triangle and the Nine-Point Circle     X(7680)    
  48     Internal Center of Similitude of the Spieker Circle of the Johnson Triangle and the Spieker Circle     X(5)   Nine-Point Center  
  49     Internal Center of Similitude of the Sine-Triple-Angle Circle of the Johnson Triangle and the Nine-Point Circle     X(265)    
  50     Internal Center of Similitude of the Adams Circle of the Johnson Triangle and the Adams Circle     X(5)   Nine-Point Center  
  51     Internal Center of Similitude of the Conway Circle of the Johnson Triangle and the Conway Circle     X(5)   Nine-Point Center  
  52     Internal Center of Similitude of the Brocard Circle of the Johnson Triangle and the Brocard Circle     X(5)   Nine-Point Center  
  53     Internal Center of Similitude of the Second Brocard Circle of the Johnson Triangle and the Antimedial Circle     X(4)   Orthocenter  
  54     Internal Center of Similitude of the Second Brocard Circle of the Johnson Triangle and the Second Brocard Circle     X(5)   Nine-Point Center  
  55     Internal Center of Similitude of the Orthocentroidal Circle of the Johnson Triangle and the Orthocentroidal Circle     X(5)   Nine-Point Center  
  56     Internal Center of Similitude of the Lester Circle of the Johnson Triangle and the Lester Circle     X(5)   Nine-Point Center  
  57     Internal Center of Similitude of the Inner Johnson-Yff Circle of the Johnson Triangle and the Incircle     X(3560)    
  58     Internal Center of Similitude of the Inner Johnson-Yff Circle of the Johnson Triangle and the Inner Johnson-Yff Circle     X(5)   Nine-Point Center  
  59     Internal Center of Similitude of the Outer Johnson-Yff Circle of the Johnson Triangle and the Circumcircle     X(355)   Center of the Fuhrmann Circle  
  60     Internal Center of Similitude of the Outer Johnson-Yff Circle of the Johnson Triangle and the Incircle     X(6911)    
  61     Internal Center of Similitude of the Outer Johnson-Yff Circle of the Johnson Triangle and the Excentral Circle     X(5720)    
  62     Internal Center of Similitude of the Outer Johnson-Yff Circle of the Johnson Triangle and the Outer Johnson-Yff Circle     X(5)   Nine-Point Center  
  63     Internal Center of Similitude of the Lemoine Circle of the Johnson Triangle and the Lemoine Circle     X(5)   Nine-Point Center  
  64     Internal Center of Similitude of the Gallatly Circle of the Johnson Triangle and the Gallatly Circle     X(5)   Nine-Point Center  
  65     Internal Center of Similitude of the Kenmotu Circle of the Johnson Triangle and the Kenmotu Circle     X(5)   Nine-Point Center  
  66     Internal Center of Similitude of the Cosine Circle of the Johnson Triangle and the Nine-Point Circle     X(6289)    
  67     Internal Center of Similitude of the Cosine Circle of the Johnson Triangle and the Cosine Circle     X(5)   Nine-Point Center  
  68     Internal Center of Similitude of the Apollonius Circle of the Johnson Triangle and the Nine-Point Circle     X(946)    
  69     Internal Center of Similitude of the Apollonius Circle of the Johnson Triangle and the Apollonius Circle     X(5)   Nine-Point Center  
  70     Internal Center of Similitude of the Taylor Circle of the Johnson Triangle and the Taylor Circle     X(5)   Nine-Point Center